FI:IB000 Math. Foundations of CS

IB000 Mathematical Foundations of Computer Science

Faculty of Informatics
Autumn 2024

Extent and Intensity

2/2/1. 4 credit(s) (plus extra credits for completion). Recommended Type of Completion: zk (examination). Other types of completion: z (credit).
In-person direct teaching

Teacher(s)

Guaranteed by

prof. RNDr. Petr Hliněný, Ph.D.
Department of Computer Science – Faculty of Informatics
Supplier department: Department of Computer Science – Faculty of Informatics

Timetable

Wed 25. 9. to Wed 11. 12. Wed 8:00–9:50 D3, Wed 25. 9. to Wed 18. 12. Wed 8:00–9:50 D1, Wed 8:00–9:50 D2

Timetable of Seminar Groups:

IB000/AA: Wed 2. 10. to Wed 20. 11. Wed 14:00–15:50 C511, Wed 27. 11. to Wed 18. 12. Wed 14:00–15:50 S209, J. Balabán, Pokročilé (Advanced) cvičení, přihlásit studenta může pouze cvičící! Jste-li dobří v matematice, žádejte v ISu o souhlas či zápis nad limit...
IB000/T01: Thu 26. 9. to Fri 20. 12. Thu 8:00–10:45 109, L. Másilko, Nepřihlašuje se. Určeno pro studenty se zdravotním postižením.
IB000/01: Mon 30. 9. to Mon 16. 12. Mon 8:00–9:50 C416, M. Maška
IB000/02: Mon 30. 9. to Mon 16. 12. Mon 8:00–9:50 A320, D. Svoboda
IB000/03: Mon 30. 9. to Mon 16. 12. Mon 10:00–11:50 C416, M. Maška
IB000/04: Mon 30. 9. to Mon 16. 12. Mon 10:00–11:50 B204, T. Pham
IB000/05: Mon 30. 9. to Mon 16. 12. Mon 12:00–13:50 A218, V. Musil
IB000/06: Mon 30. 9. to Mon 16. 12. Mon 12:00–13:50 A320, A. Štěpková
IB000/07: Mon 30. 9. to Mon 16. 12. Mon 14:00–15:50 A217, V. Musil
IB000/08: Mon 30. 9. to Mon 16. 12. Mon 16:00–17:50 B204, N. Beneš
IB000/09: Tue 1. 10. to Tue 17. 12. Tue 8:00–9:50 B410, P. Hliněný
IB000/10: Tue 1. 10. to Tue 17. 12. Tue 8:00–9:50 C416, T. Jusko
IB000/11: Tue 1. 10. to Tue 17. 12. Tue 10:00–11:50 B204, P. Novotný
IB000/12: Tue 1. 10. to Tue 17. 12. Tue 10:00–11:50 A319, F. Kučerák
IB000/13: Tue 1. 10. to Tue 17. 12. Tue 14:00–15:50 B204, S. Čepela
IB000/14: Tue 1. 10. to Tue 17. 12. Tue 14:00–15:50 C416, F. Blažek
IB000/15: Tue 1. 10. to Tue 17. 12. Tue 16:00–17:50 C416, F. Blažek
IB000/16: Wed 2. 10. to Wed 18. 12. Wed 10:00–11:50 C416, P. Matula
IB000/17: Wed 2. 10. to Wed 18. 12. Wed 12:00–13:50 A218, R. Dvořák
IB000/18: Wed 2. 10. to Wed 18. 12. Wed 18:00–19:50 B410, A. Straka
IB000/19: Thu 3. 10. to Thu 19. 12. Thu 8:00–9:50 A218, J. Obdržálek
IB000/20: Thu 3. 10. to Thu 19. 12. Thu 8:00–9:50 B410, L. Iván
IB000/21: Thu 3. 10. to Thu 19. 12. Thu 10:00–11:50 A218, J. Obdržálek
IB000/22: Thu 3. 10. to Thu 19. 12. Thu 10:00–11:50 B410, V. Turland
IB000/23: Thu 3. 10. to Thu 19. 12. Thu 12:00–13:50 B410, M. Jonáš
IB000/24: Thu 3. 10. to Thu 19. 12. Thu 16:00–17:50 C416, D. Smolka
IB000/25: Fri 4. 10. to Fri 20. 12. Fri 8:00–9:50 C416, T. Foltýnek
IB000/26: Fri 4. 10. to Fri 20. 12. Fri 8:00–9:50 B410, P. Hliněný
IB000/27: Fri 4. 10. to Fri 20. 12. Fri 10:00–11:50 C416, M. Lukášík
IB000/28: Fri 4. 10. to Fri 20. 12. Fri 10:00–11:50 B410, A. Heroudková
IB000/29: Fri 4. 10. to Fri 20. 12. Fri 12:00–13:50 C416, J. Jedelský

Prerequisites

!( IB000ext Math. Foundations of CS || NOW( IB000ext Math. Foundations of CS ))
The course is intended primarily for students of Bachelor's degree programs at the Faculty of Informatics. Students with a minor plan in Informatics enroll in IB000ext.

Course Enrolment Limitations

The course is also offered to the students of the fields other than those the course is directly associated with.

fields of study / plans the course is directly associated with

Image Processing and Analysis (programme FI, N-VIZ)
Bioinformatics and systems biology (programme FI, N-UIZD)
Computer Games Development (programme FI, N-VIZ_A)
Computer Graphics and Visualisation (programme FI, N-VIZ_A)
Computer Networks and Communications (programme FI, N-PSKB_A)
Cybersecurity Management (programme FI, N-RSSS_A)
Formal analysis of computer systems (programme FI, N-TEI)
Graphic design (programme FI, N-VIZ)
Graphic Design (programme FI, N-VIZ_A)
Hardware Systems (programme FI, N-PSKB_A)
Hardware systems (programme FI, N-PSKB)
Image Processing and Analysis (programme FI, N-VIZ_A)
Information security (programme FI, N-PSKB)
Informatics (programme FI, B-INF) (3)
Informatics in education (programme FI, B-IVV) (2)
Information Security (programme FI, N-PSKB_A)
Quantum and Other Nonclassical Computational Models (programme FI, N-TEI)
Cybersecurity (programme FI, B-CS)
Computer graphics and visualisation (programme FI, N-VIZ)
Computer Networks and Communications (programme FI, N-PSKB)
Business Informatics (programme ESF, B-POIN)
Principles of programming languages (programme FI, N-TEI)
Programming and development (programme FI, B-PVA)
Cybersecurity management (programme FI, N-RSSS)
Services development management (programme FI, N-RSSS)
Software Systems Development Management (programme FI, N-RSSS)
Services Development Management (programme FI, N-RSSS_A)
Software Systems Development Management (programme FI, N-RSSS_A)
Software systems (programme FI, N-PSKB)
Machine learning and artificial intelligence (programme FI, N-UIZD)
Teacher of Informatics and IT administrator (programme FI, N-UCI)
Informatics for secondary school teachers (programme FI, N-UCI) (2)
Computer Games Development (programme FI, N-VIZ)
Processing and analysis of large-scale data (programme FI, N-UIZD)
Natural language processing (programme FI, N-UIZD)

Course objectives

This course is focused on understanding basic mathematical concepts necessary for study of computer science. This is essential for building up a set of basic concepts and formalisms needed for other theoretical courses in computer science. At the end of this course the successful students should: know the basic mathematical notions; understand the logical structure of mathematical statements and mathematical proofs, specially mathematical induction; know discrete mathematical structures such as finite sets, relations, functions, and graph; be able to precisely formulate their claims and relevant proofs; and apply acquired knowledge in other CS courses as well as in practice later on.

Learning outcomes

After finishing the course the student will be able to: understand the logical structure of mathematical statements and mathematical proofs, deal with and explain basic structures of discrete mathematics, precisely formulate their claims and relevant proofs.

Syllabus

The course focuses on understanding basic mathematical tools:
Basic formalisms - statements, proofs, and propositional logic.
Introduction to predicate logic, quantifiers.
Sets, relations, and functions.
Proof techniques, mathematical induction.
Recursion, structural induction.
Binary relations, closure, transitivity.
Equivalence and partial orders.
Composition of relations and functions.
Basics of graphs, isomorphism, subgraphs, directed graphs.
Graph connectivity and distance, trees, and spanning trees.
Infinite sets and the halting problem.

Literature

HLINĚNÝ, Petr. Úvod do informatiky. Elportál. Brno: Masarykova univerzita, 2010. ISSN 1802-128X. URL info
MATOUŠEK, Jiří and Jaroslav NEŠETŘIL. Kapitoly z diskrétní matematiky. 3., upr. a dopl. vyd. V Praze: Karolinum, 2007, 423 s. ISBN 9788024614113. info

Teaching methods

This subject has regular weekly lectures and compulsory tutorials. Moreover, the students are expected to practice at home using online questionnaires, via IS MU. All the study materials and study agenda are presented through the online IS syllabus.

Assessment methods

Students' evaluation in this course consists of these three parts: through term evaluation (minimal score is required), "computer" written exam (again, minimal score is required), and an optional classical written exam.

Language of instruction

Czech

Further comments (probably available only in Czech)

Study Materials
The course is taught annually.

Listed among pre-requisites of other courses

Teacher's information

http://is.muni.cz/el/1433/podzim2024/IB000/index.qwarp

The course is also listed under the following terms Autumn 2002, Autumn 2003, Autumn 2004, Autumn 2005, Spring 2006, Autumn 2006, Autumn 2007, Spring 2008, Autumn 2008, Autumn 2009, Autumn 2010, Autumn 2011, Autumn 2012, Autumn 2013, Autumn 2014, Autumn 2015, Autumn 2016, Autumn 2017, Autumn 2018, Autumn 2019, Autumn 2020, Autumn 2021, Autumn 2022, Autumn 2023.

Enrolment Statistics (recent)
Permalink: https://is.muni.cz/course/fi/autumn2024/IB000

FI:IB000 Math. Foundations of CS - Course Information

IB000 Mathematical Foundations of Computer Science

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